An algorithm to initialize the search of solutions of polynomial systems (Q815282)

When applying a certain iterative method for solving systems of nonlinear equations, a very important issue is how to choose the initial guess (approximation) in order to be sure that the iterative method will converge. The author proposes, in the case of systems of polynomial equations, an algorithm that is able to locate the zeros of the system inside small enough \(p\)-cubes in \(\mathbb{R}^p\), to guarantee the convergence.